4742426880 has 432 divisors, whose sum is σ = 17320692480. Its totient is φ = 1242169344.

The previous prime is 4742426873. The next prime is 4742426891. The reversal of 4742426880 is 886242474.

4742426880 is a `hidden beast` number, since 474 + 2 + 42 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4742426880² = 44981225424293068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24572064 + ... + 24572256.

Almost surely, 2^4742426880 is an apocalyptic number.

4742426880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4742426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660346240).

4742426880 is an abundant number, since it is smaller than the sum of its proper divisors (12578265600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4742426880 is an equidigital number, since it uses as much as digits as its factorization.

4742426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 4742426880 is about 68865.2806572369. The cubic root of 4742426880 is about 1680.0938723057.

The spelling of 4742426880 in words is "four billion, seven hundred forty-two million, four hundred twenty-six thousand, eight hundred eighty".